Answer:
The p-value of the observed statistic is 0.15866
Step-by-step explanation:
The given parameters of the system are;
The standard deviation of the foam height, σ = 20 mm
The null hypothesis, H₀; μ = 175 mm
The alternative hypothesis, Hₐ; μ > 175 mm
The number of observations that make the sample, n = 4
The observed statistic, [tex]\overline x[/tex] = 185
The test statistic is given as follows;
[tex]Z=\dfrac{\bar{x}-\mu }{\dfrac{\sigma}{\sqrt{n}}}[/tex]
Therefore, we get;
[tex]Z=\dfrac{185-175 }{\dfrac{20}{\sqrt{4}}} = 1[/tex]
P(Z > 1) = 1 - P(Z < 1) = 1 - 0.84134 = 0.15866
The p-value of the observed statistic = 0.15866
